We all know the quadratic formula. In fact, this is probably one of the few formulas that you remember from high school. But sometimes a long exercise in calculus requires also to find the roots of a quadratic equation. To save time, especially when the roots are not integers.
Here are two nice calculators that can help you:
1. mathpapa calculator – Very easy to use. There is one field to put your one variable equation and it shows the roots with the solution steps. Here is the link:
https://www.mathpapa.com/algebra-calculator.html
Just put in the square equation, and get its roots in an instant. Note that the calculator only accepts equations with one variable x. It does not recognize the variable y. Therefore, to get roots to a function, set in the function y = 0, and then enter the quadratic equation you received. In addition, the calculator also calculates roots for equations greater than 2, and even shows the solution steps.
Pros:
- Free and online – no need to install anything.
- Solves equations of various degrees, not just quadratic.
- Shows the solution steps. In a quadratic equation, even show the quadratic formula before placing the coefficients in it.
Cons:
- Solves only equations of one variable.
- It does not show complex roots.
2. Symbolab calculator – intuitive and user-friendly as the rest of the Symbolab calculators. It has a keyboard with useful mathematic signs, it shows the solution steps and also complex roots, if there are any. Here is the link:
https://www.symbolab.com/solver/square-roots-calculator
Pros:
- Free and online – no need to install anything.
- Solves equations of various degrees, not just quadratic.
- Shows the solution steps.
- Shows complex roots, if there are any.
In summary, a nice root calculator can help when you want to find roots quickly without calculating them manually. Especially helpful when you want to save time, when the roots are complicated expressions rather than integers or when the equation is of higher degree than 2.
I hope it will help you too!
Good luck!